On Initial Data in the Problem of Consistency on Cubic Lattices for 3×3 Determinants

The paper is devoted to complete proofs of theorems on consistency on cubic lattices for 3×3 determinants. The discrete nonlinear equations on Z^2 defined by the condition that the determinants of all 3×3 matrices of values of the scalar field at the points of the lattice Z^2 that form elementary 3×...

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Bibliographic Details
Main Author: Oleg I. Mokhov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-07-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.075